Answer:
D. 
Step-by-step explanation:
Let be ![y = \Sigma_{i = 0}^{4} \left[5\cdot \left(\frac{1}{3} \right)^{i}\right]](https://tex.z-dn.net/?f=y%20%3D%20%5CSigma_%7Bi%20%3D%200%7D%5E%7B4%7D%20%5Cleft%5B5%5Ccdot%20%5Cleft%28%5Cfrac%7B1%7D%7B3%7D%20%5Cright%29%5E%7Bi%7D%5Cright%5D)
. To find the equivalent expression we must use the following property:
![y = c\cdot \Sigma_{i = 0}^{n} p(x) = \Sigma_{i=0}^{n} [c\cdot p(x)]](https://tex.z-dn.net/?f=y%20%3D%20c%5Ccdot%20%5CSigma_%7Bi%20%3D%200%7D%5E%7Bn%7D%20p%28x%29%20%3D%20%5CSigma_%7Bi%3D0%7D%5E%7Bn%7D%20%5Bc%5Ccdot%20p%28x%29%5D)
(1)
Based on this fact, we find the following equivalence:
Hence, the correct answer is D.
Answer:
Option(D)
Step-by-step explanation:
Given are the two triangles, that are ABC and DEF, in which AB=8ft, DE=6ft, AC=10ft and DF=7.5ft.
For the two triangles to be similar, it must satisfy the similarity condition that is:
Both the triangles must have congruent angles and the sides should be proportional. Since, two sides of the given triangles are not proportional.Moreover, ∠A=25° and ∠D=24° which are not equal and ∠C=60° and ∠F=61° which are also not equal.
Therefore, Not all the angles are congruent, thus the triangles cannot be similar.
Answer:
Kerry should pay = 155520
Step-by-step explanation:
Total amount paid = 14,4000 + 8% of 14,4000
It is given that,
Kerry purchased a used car for 14,4000. And had to pay 8% sales tax
<u>To find the 8% of 14,4000</u>
8% of 14,4000 = (8*144000)/100 = 11520
<u>To find total amount paid</u>
Total amount paid = 14,4000 + 8% of 14,4000
= 14,4000 + 11520 =155520
Therefore Kerry should pay = 155520
If 30% were perfect, 70% were not perfect. So we know that 70% of the total number of photographs is 210.
p(70/100)=210 multiply both sides by 100
70p=21000 divide both sides by 70
p=300
So there are 300 photographs in all.
89.25 is the original price first i did 75÷100=0.75×51=38.25+51=89.25 is the correct answer.
